this is a problem i need help with

The maximum height of the road which is made in such a way that the center of the road is higher off the ground than the sides of the road is 16 feet.

The maxima of a parabola is where, it opens down its vertex at the maximum point in a coordinate graph. By equating the derivative of equation of parabola equal to zero, it can be found out.

A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain.

A cross-section of the road can be represented on a graph using the function,

[tex]f(x) = (x - 16)(x+ 16),[/tex]

Here, x represents the distance from the center of the road, in feet.

This equation can be written as,

[tex]f(x) = (x - 16)^2[/tex]

Now to find the maximum height, find the derivative of the above function as,

[tex]f(x) = (x - 16)^2\\f'(x) = (x - 16)^2\\f'(x)=2(x-16)(1)\\f'(x)=2(x-16)[/tex]

Equate the above equation to zero as,

[tex]0=2(x-16)\\0=x-16\\x=16[/tex]

Thus, the maximum height of the road which is made in such a way that the center of the road is higher off the ground than the sides of the road is 16 feet.

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Answer:

12:1

………………………………………………

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Answer: #1 = 15            #2= 5

Step-by-step explanation:

3 x  5/12=  15/12

15 x  1/12=15/12

5 x 3/12=15/12

TRUST ME I'm smart

Answer:

The other factor is 5x-2

Step-by-step explanation:

Using the factorisation method:

Two numbers that multiply to give -10 and add to give +3:

+5 and -2

[tex]5x^{2} +5x-2x-2[/tex]

[tex]5x(x+1) -2(x+1)[/tex]

[tex](x+1)(5x-2)[/tex]

So the other factor is 5x-2

I'm not sure about the second part of the question but I hope you understood how to deal with the first part.

Answer:

Step-by-step explanation:

9 is 16.12

11 is 38.36

13 is 9

Answer:

I believe the answer is D.) three and three eighteenths

Explanation:

5 3/6 = 33/6

2 1/3 = 7/3 = 14/6

33/6 - 14/6 = 19/6 = 3 1/6 or 3 3/18

I hope I helped! ^-^

Answer:

35%

Step-by-step explanation:

7/20 = 0.35

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Answer:

area = 132 m²

perimeter = 62 m

Step-by-step explanation:

The easiest way to calculate the area of the shape is to work out the area of the entire rectangle, then subtract the area of the 2 small (white) square:

Area of a rectangle = width x length

⇒ area = 10 x 15 = 150 m²

Area of one square = 3 x 3 = 9

Total area = 150 - 9 - 9 = 132 m²

Perimeter = (2 x 10) + 15 + (9 x 3) = 62 m

The area of the composite figure = 10,874.1 sq. m.

The perimeter of the composite figure = 406.9 m

Perimeter of a rectangle = 2(length + width)

Area of a rectangle = length × width

Perimeter of a circle = 2πr

Area of a circle = πr²

The figure is made up of two semicircles (1 full circle) and a rectangle.

Area of the composite figure = area of circle + area of rectangle

= πr² + length × width

r = 36.5 + 1.2 = 37.7 m

length = 85.0 m

width = 2(36.5) + 2(1.2) = 75.4 m

Substitute

Area of the composite figure = π(37.7)² + 85.0 × 75.4 = 10,874.1 sq. m.

Perimeter of the composite figure = perimeter of circle + 2(length of the rectangle)

= 2πr + 2(L)

Plug in the values

= 2π(37.7) + 2(85.0)

Perimeter of the composite figure = 406.9 m

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Answer:

[tex]18=y[/tex]

Step-by-step explanation:

Assuming that your equation is [tex]1x+1+15=y[/tex], you would first substitute in the 2: [tex](1*2)+1+15=y[/tex]

Next, simplify and combine like terms: [tex]2+16=y[/tex]

Finally, simplify again to get the answer: [tex]18=y[/tex]

Answer:

The answer is A because the line is in -2 negative and positive 5

Answer:

15. 10i√3

16. -1

17. 6

18. √35 - 2√5

     --------------

            3

19. x√35 - 3√7x + 4√5x - 12

20.    9√7

   -   ---------

          14

Step-by-step explanation:

15)

√-300 = √-100 × 3 = 10i√3

16)            5

i^22 = 4√22   =    i²   =   -1

             -20

             ------

                2

17)

(√7 + 1) (√7 - 1)

√7 (√7 + 1) - 1 (√7 + 1)

√49 + √7 - √7 - 1

7 - 1 = 6

18)

√5           √7 - 2          √35 + 2√5                      √35 - 2√5        √35 - 2√5

---------  x  ---------    =    ------------------             =    --------------    =   -----------------

√7 + 2     √7 - 2          √49 - 2√7 + 2√7 - 4           7 - 4                     3

19)

(√7x + 4)(√5x - 3)

√7x (√5x - 3) + 4 (√5x - 3)

√35x² - 3√7x + 4√5x - 12

x√35 - 3√7x + 4√5x - 12

20)

-√81       -9              √7         -9√7       -9√7

-------- = -------   x   -------   =  -------   =    -------

√28       2√7        √7         2√49         14

I hope this helps!

Answer: READ MY EXPLANATION.

Yes, both of them have 90 degrees And sided triangles.

Step-by-step explanation: Hi m4rra! I'm sorry to say but your account has been reported quite a few times and you may want to start a new account, it has been reported by the following people: maylie186, ionfieldbest, gtchappymuch, and many more. I'm going to repeat what I mean but in less formal words. your account has been reported quite a bit, we are going to need you to delete this account. you may make a new one if you wish. . . sincerely, . The Brainly Team

The count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex]  ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

For the given case, there are 4 digit locks, each of them can be from {1,2,3,4,5,6,7,8,9}

So each one has 9 options to choose from.

Thus, using the rule of product, we get the total possible personal identification numbers  as: [tex]9 \times 9 \times 9 \times 9= 6561[/tex]

Thus, the count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

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The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

As it is given that the password can only be made with letters or numbers, and we know that there are only 26 letters and there are 10 numbers, therefore, the total option available is 36.

Also, it is given that the first letter of the password can only be made with letters, therefore, there are only 26 options available for the first place in the password.

The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter,

[tex]= ^{26}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \\\\= 26 \times 31\times 31\times 31\times 31\times 31\times 31\times 31\\\\= 26 \times 31^7[/tex]

Hence, the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.

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Answer:

B. 26 times 36 superscript 7

Step-by-step explanation:

its the right answer

Answer:

Step-by-step explanation:

Answer:

b) 130

Step-by-step explanation:

The total of the internal angles of any simple hexagon (six sides)  is 720°.

720 = 150+95+105+145+95+x

720= 590 + x

720 - 590 = x

130 = x

Answer:

(147 - 298)/298 x 100

-151/298  × 100

Change ≈ -50.6711%

Step-by-step explanation:

Answer:

102.7

Step-by-step explanation:

your starting number is 147,

your earned number is 298,

to get the percentage, it will be in decimal form

the answer is-

102.72108843537416 %

Now you round to the nearest tenth-

102.7

I hope this helps you-

Step 1: Calculate the change (subtract old value from the new value) ...

Step 2: Divide that change by the old value (you will get a decimal number)

Step 3: Convert that to a percentage (by multiplying by 100 and adding a "%" sign)

Answer

74.40

Step-by-step explanation:

circumference= 2πr

so, 12×2×pi= 24π

24π= 75.39822369

=75.40

Answer:

15

Step-by-step explanation:

Sum of points divided by number of games

Answer:

(x - y) = 9

Step-by-step explanation:

**Note: we cannot use similar triangle proportionality, as ΔABC is NOT a right triangle**

Using Pythagoras' Theorem a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle)

Create equations for both smaller interior right triangles using Pythagoras' Theorem:

Larger right triangle

   CD² + x² = 17²

⇒ CD² = 17² - x²

Smaller right triangle

   CD² + y² = 10²

⇒ CD² = 10² - y²

Equate equations:

        CD² = CD²

⇒ 17² - x² = 10² - y²

Given:

AB = 21  and AB = x + y

⇒ x + y = 21

⇒ y = 21 - x

Substitute  y = 21 - x  into  17² - x² = 10² - y²  and solve for x:

⇒ 17² - x² = 10² - (21 - x)²

⇒ 17² - x² = 10² - (441 - 42x + x²)

⇒ 17² - x² = 10² - 441 + 42x - x²

⇒ 289 = 100 - 441 + 42x

⇒ 630 = 42x

⇒ x = 630 ÷ 42

⇒ x = 15

Substitute found value for x into  y = 21 - x and solve for y:

⇒ y = 21 - 15 = 6

Finally, substitute found values for x and y into (x - y):

⇒ x - y = 15 - 6 = 9

The equation which correctly shows the Commutative Property of Multiplication is 6 x 7/8 = 7/8 x 6

This is the property which holds when a set of operations are changed but still remain the same value.

Check all that applies:

6 x 7/8 = 7/8 ÷ 6

7/8 ÷ 6

= 8/7 × 6

No

6 x 7/8 = 6 x 7/8

Yes

6 + 7/8 = 7/8 x 6

No

6 x 7/8 = 7/8 x 6

Yes

Therefore, 6 x 7/8 = 7/8 x 6 is the answer because the values were interchanged but still remain the same.

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Sum of interior angles of a triangle is 180 degrees

Add the angles up

2z-1+z+14+95 = 180

3z+108 = 180

3z = 72

z = 24

Z = 24

Answer:

[tex]\huge\boxed{\sf{Linear}}[/tex]

Step-by-step explanation:

Hello.

This function is linear.

Remember, linear functions look like so:

y=mx+b (where m = slope & b = y-intercept)

Is y=3x+2 linear? Sure!

Compare:

y=mx+b

y=3x+2

They look the same, huh? The only difference is that the first one has variables, and the second one has numbers. ;)

Now, what about the graph?

All linear functions have a graph that looks like a straight line.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]